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Finding the Fourth Proportional to 796.93, 1,194.01 and 768.22

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Solution

The fourth proportional to 796.93, 1,194.01 and 768.22 is: 1,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.93 : 1,194.01 = 768.22 : x
  2. Step 2: Convert to fraction form
    796.93/1,194.01 = 768.22/x
  3. Step 3: Cross multiply
    796.93x = 1,194.01 × 768.22
  4. Step 4: Simplify right side
    796.93x = 917,257.46
  5. Step 5: Solve for x
    x = 917,257.46/796.93
  6. Step 6: Final answer
    x = 1,150.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.